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math.AP2024
Wave packets propagation in the subwavelength regime near the Dirac point
Habib Ammari, Xin Fu, Wenjia Jing
In [Ammari et al., SIAM J Math Anal., 52 (2020), pp. 5441--5466], the first author with collaborators proved the existence of Dirac dispersion cones at subwavelength scales in bubb…
math.AP2024★ 1 cited
Quantitative homogenization of state-constraint Hamilton--Jacobi equations on perforated domains and applications
Yuxi Han, Wenjia Jing, Hiroyoshi Mitake +1
We study the periodic homogenization problem of state-constraint Hamilton--Jacobi equations on perforated domains in the convex setting and obtain the optimal convergence rate. We…
math.AP2024★ 1 cited
Convergence rate and uniform Lipschitz estimate in periodic homogenization of high-contrast elliptic systems
Xin Fu, Wenjia Jing
We consider the Dirichlet problem for elliptic systems with periodically distributed inclusions whose conduction parameter exhibits a significant contrast compared to the backgroun…